Prym varieties of triple cyclic covers
type: Item
instance of: scholarly article
title: Prym varieties of triple cyclic covers
zbMATH Open document ID: 0628.14034
DOI: 10.1007/BF01160210
author: Carel Faber
published in: Mathematische Zeitschrift
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173951
review text: Prym varieties associated to unramified triple cyclic covers are studied. We construct the Prym map from the moduli space of curves of genus \(g\) with such a cover to a certain moduli space of abelian varieties of dimension 2g-2 with a non-principal polarization and with an automorphism of order three. The main theorem is that for \(g=4\) this Prym map is generically finite of degree \(16;\) moreover, the general fiber carries a \((16_ 6)\) Kummer structure.
Mathematics Subject Classification ID: 14K10
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 14H30
zbMATH DE Number: 4021341
zbMATH Keywords: Prym varieties
zbMATH Keywords: unramified triple cyclic covers
zbMATH Keywords: moduli space
zbMATH Keywords: non- principal polarization
zbMATH Keywords: automorphism
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4021341